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Finding the Fourth Proportional to 169,802, 254,719.20 and 69,968.96

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Solution

The fourth proportional to 169,802, 254,719.20 and 69,968.96 is: 104,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,802 : 254,719.20 = 69,968.96 : x
  2. Step 2: Convert to fraction form
    169,802/254,719.20 = 69,968.96/x
  3. Step 3: Cross multiply
    169,802x = 254,719.20 × 69,968.96
  4. Step 4: Simplify right side
    169,802x = 17,822,437,516.03
  5. Step 5: Solve for x
    x = 17,822,437,516.03/169,802
  6. Step 6: Final answer
    x = 104,960.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.